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Finding the Third Proportional to 300,124.50 and 457,809.75

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Solution

The third proportional to 300,124.50 and 457,809.75 is: 698,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,124.50 : 457,809.75 = 457,809.75 : x
  2. Step 2: Convert to fraction form
    300,124.50/457,809.75 = 457,809.75/x
  3. Step 3: Cross multiply
    300,124.50x = 457,809.75 × 457,809.75
  4. Step 4: Simplify right side
    300,124.50x = 209,589,767,195.06
  5. Step 5: Solve for x
    x = 209,589,767,195.06/300,124.50
  6. Step 6: Final answer
    x = 698,342.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.